
AbstractThe present study investigates the size effects in the problems of cantilever beam bending and cracked bar tension within the gradient elasticity framework. Analytical solutions for metrics that characterize both the normalized stiffness and toughness are derived. It is found that the gradient elastic beam exhibits a significantly stiffer but also more brittle response, while the gradient cracked bar exhibits considerable toughening. These results compare well with respective finite element computations.
Size effects, Mechanical Engineering, Applied Mathematics, Structural analysis, Condensed Matter Physics, Micro-electromechanical systems (MEMS), Gradient elasticity, Materials Science(all), Mechanics of Materials, Bending stiffness, Modelling and Simulation, Microstructural lengths, Toughness, Fatigue
Size effects, Mechanical Engineering, Applied Mathematics, Structural analysis, Condensed Matter Physics, Micro-electromechanical systems (MEMS), Gradient elasticity, Materials Science(all), Mechanics of Materials, Bending stiffness, Modelling and Simulation, Microstructural lengths, Toughness, Fatigue
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